Complex field formulation of quantum estimation theory

Physica Scripta 2026 Open access

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Authors: M. Muñoz, L. Pereira, C Vargas, S Niklitschek, Alexandra Scheznarda Anchundia Delgado
DOI: 10.1088/1402-4896/ae8e48
Cited by: 0
References: 82

Abstract

Abstract We present a complex-field formulation of quantum estimation theory that natively operates with complex statistics for the dependence of complex parameters. This formulation states new complex versions of the main quantities and results of the estimation theory depending on complex parameters, such as Fisher information matrices and Cramér–Rao bounds. This can be useful in contexts where quantum states are described by complex parameters, such as coherent or squeezed states. We present an example of our theory’s application to quantum communication with coherent states.

Fields of Study & Subjects

Quantum Information and Cryptography Quantum Computing Algorithms and Architecture Distributed Sensor Networks and Detection Algorithms

Publication details

Journal / source
Physica Scripta
Publisher
IOP Publishing
Volume
101
Issue
32
Pages
325102–325102
Publication date
21 July 2026
Language
EN